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(#1 (permalink))
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Self-Proclaimed Mathematician
Experienced TeenHelper
****** Name: Jorge
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Location: New York
Posts: 515
Join Date: January 3rd 2011
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Simplify the expression. -
July 22nd 2011, 04:11 PM
Go to this awesome error page:
http://www.kortaggio.com/error404.html Have a solution? ^_^ Here's mine (confirmed by the domain's owner): Spoiler: He's also got a very interesting and fun blog; definitely check it out if you're into math, econ, or politics.
"Pick a flower on Earth, and you move the farthest star."
-Paul Dirac Follow me on Tumblr or Watch me on deviantART ![]() |
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(#4 (permalink))
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Well isn't that wizard!
![]() I can't get enough ********* Name: Hollie
Age: 17
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Location: The TARDIS.
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Join Date: January 19th 2011
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Re: Simplify the expression. -
July 24th 2011, 02:13 PM
I may have nightmares over that. I don't even think I've seen those symbols before. It's scary.
![]() Would you let me see beneath your beautiful Would you let me see beneath your perfect Take it off now girl, take it off now girl I wanna see inside. ღ |
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(#6 (permalink))
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Self-Proclaimed Mathematician
Experienced TeenHelper
****** Name: Jorge
Gender: Male
Location: New York
Posts: 515
Join Date: January 3rd 2011
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Re: Simplify the expression. -
July 26th 2011, 02:59 PM
Lol, I made a typo in my spoiler with the answer, but I can't edit...it's actually 404.
Haha..There's actually just a lot of simple little tricks in this one. The first term is just a geometric series ( 100/(1-1/3) = 150 ). The second is the basic rational limit which comes out to 1 The third is a bit of involved integration, but instead of 1/(x+y)^-k, it simplifies to (x+y)^k to make life easier. Integrate w.r.t. x, leave things in terms of y and k, integrate w.r.t. y, and substitute k=2 to evaluate the limit. Simplifies to 268. The fourth is a differential (which you'd only be able to work out the numerator of if you didn't know that ln(-1) = iπ, from Euler's identity). Apply some chain rule and trigonometry to get -16. The π in numerator and denominator cancel out. Then there's the 1 at the very end to make it 404. ![]() "Pick a flower on Earth, and you move the farthest star."
-Paul Dirac Follow me on Tumblr or Watch me on deviantART ![]() |
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